What is the 2483rd prime number?
The 2483rd prime number is 22147. The next prime is 22153 (a gap of 6) and the one before is 22133.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 2483rd one is 22147.
- 2
22147 is prime because no prime up to ā22147 ā 148.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2483rd prime is close to 2483 Ć ln(2483) ā 19410, and here it is 22147.
- 4
22147 has no twin: neither 22145 nor 22149 is prime.
Primes around the 2483rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2480 | 22123 | 12 |
| 2481 | 22129 | 6 |
| 2482 | 22133 | 4 |
| 2483 | 22147 | 14 |
| 2484 | 22153 | 6 |
| 2485 | 22157 | 4 |
| 2486 | 22159 | 2 |
Questions
What is the 2483rd prime number?
22147.
Which prime number is 22147?
22147 is the 2483rd prime number.
What is the sum of the first 2483 primes?
25,832,984.